Least Common Multiple of 91/112, 38/856, 526/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/112, 38/856, 526/701 quickly i.e. 909454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/112, 38/856, 526/701 is 909454.

LCM(91/112, 38/856, 526/701) = 909454

LCM of 91/112, 38/856, 526/701

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 91/112,38/856,526/701

Given numbers are 91/112,38/856,526/701

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 91,38,526

Least Common Multiple of Numerators i.e. LCM of 91,38,526 is 909454.

GCF of Denominators means GCF of 112,856,701 as per the given fractions.

GCF of 112,856,701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,38,526

LCM of Fractions 91/112,38/856,526/701 is 909454

2 91, 38, 526
91, 19, 263

∴ So the LCM of the given numbers is 2 x 91 x 19 x 263 = 909454

Least Common Multiple of 91,38,526 with GCF Formula

Least Common Multiple of 91,38,526 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 91,38,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,38,526) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(91,38,526) x common factors =1 x 2 = 2

LCM(91,38,526) = ( 91 × 38 × 526 ) / 2

LCM(91,38,526) = 1818908 / 2

LCM(91,38,526) = 909454


Lets's calculate GCF of 112,856,701

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 909454/1

Therefore the LCM of Fractions 91/112,38/856,526/701 is 909454

Greatest Common Factor of 112,856,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,856,701 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 112,856,701 . The biggest common factor number is the GCF number.
So the greatest common factor 112,856,701 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 91/112, 38/856, 526/701

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 91/112, 38/856, 526/701?

Answer: LCM of Numerators as per given numbers 91/112, 38/856, 526/701 is

LCM of Numerators i.e. for 91,38,526 is 909454

GCF of denominators i.e. for 112,856,701 is 1.

Thus, LCM of Fractions is 909454.Finally, LCM of Fractions for 91/112, 38/856, 526/701 is 909454.